A system consists of two particles: particle 1,having the mass m₁ = 4.0 kg is located at (-4.0 m,1.0 m)and particle 2,having the mass m₂ = 5.0 kg is located at (2.0 m,1.0 m).The x-coordinate of the center of mass of the system is A)-1.0 m. B)0.92 m. C)-0.67 m. D)-2.0 m. E)-1.3 m.

Question

Quizplus · Accepted Answer

The x-coordinate of the center of mass of a system of particles is given by:

Xcm = (m1*x1 + m2*x2 + ... + mn*xn) / (m1 + m2 + ... + mn)

where m1, m2, ..., mn are the masses of the particles and x1, x2, ..., xn are their respective x-coordinates.

Using this formula, we can find the x-coordinate of the center of mass of the given system:

Xcm = (4.0 kg * (-4.0 m) + 5.0 kg * (2.0 m)) / (4.0 kg + 5.0 kg)
    = (-16.0 kg*m + 10.0 kg*m) / 9.0 kg
    = -6.0 kg*m / 9.0 kg
    = -0.67 m

Therefore, the x-coordinate of the center of mass of the system is -0.67 m, which corresponds to choice C.

A System Consists of Two Particles: Particle 1,having the Mass